Self-improvement of weighted pointwise inequalities on open sets

25 Feb 2020 Eriksson-Bique Sylvester Lehrbäck Juha Vähäkangas Antti V.

We prove a general self-improvement property for a family of weighted pointwise inequalities on open sets, including pointwise Hardy inequalities with distance weights. For this purpose we introduce and study the classes of $p$-Poincar\'e and $p$-Hardy weights for an open set $\Omega\subset X$, where $X$ is a metric measure space... (read more)

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